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Finding the Fourth Proportional to 49,762.85, 68,673.47 and 27,102.89

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Solution

The fourth proportional to 49,762.85, 68,673.47 and 27,102.89 is: 37,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762.85 : 68,673.47 = 27,102.89 : x
  2. Step 2: Convert to fraction form
    49,762.85/68,673.47 = 27,102.89/x
  3. Step 3: Cross multiply
    49,762.85x = 68,673.47 × 27,102.89
  4. Step 4: Simplify right side
    49,762.85x = 1,861,249,024.45
  5. Step 5: Solve for x
    x = 1,861,249,024.45/49,762.85
  6. Step 6: Final answer
    x = 37,402.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.